Hyperbolic 5-manifolds that fiber over S¹

2022/07/28 by Giovanni Italiano, Bruno Martelli, Matteo Migliorini · 2 citations
Mathematics · #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Advanced Combinatorial Mathematics

paper · doi:10.1007/s00222-022-01141-w

Abstract

Abstract We exhibit some finite-volume cusped hyperbolic 5-manifolds that fiber over the circle. These include the smallest hyperbolic 5-manifold known, discovered by Ratcliffe and Tschantz. As a consequence, we build a finite type subgroup of a hyperbolic group that is not hyperbolic.

Cited by

• Virtual fibring of manifolds and groups
• Isoperimetric behavior of generalized Stallings-Bieri groups

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